211689202000 has 160 divisors (see below), whose sum is σ = 542477913120. Its totient is φ = 79620710400.

The previous prime is 211689201989. The next prime is 211689202003. The reversal of 211689202000 is 202986112.

It can be written as a sum of positive squares in 16 ways, for example, as 95058755856 + 116630446144 = 308316^2 + 341512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211689202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48583822 + ... + 48588178.

It is an arithmetic number, because the mean of its divisors is an integer number (3390486957).

Almost surely, 2^211689202000 is an apocalyptic number.

211689202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211689202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271238956560).

211689202000 is an abundant number, since it is smaller than the sum of its proper divisors (330788711120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211689202000 is a wasteful number, since it uses less digits than its factorization.

211689202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 211689202000 in words is "two hundred eleven billion, six hundred eighty-nine million, two hundred two thousand".